Question

At a track meet with 200 participants, 45 participate in jumping event, 1/3 of these jumpers are female, and 1/2 of the the total participants are female. What is the probability that a participant chosen at random is a jumper, given that the person is a female?

Answer 1

The correct answer is 0.15.

Explanation:

Total number of participants for the track meet = 200

Number of females among the participants =
`(1)/(2)` × 200 = 100

Number of persons participate in the jumping event = 45

Number of females among these jumper =
`(1)/(3)` × 45 = 15

Therefore the number of female jumpers are 15 out of the 100 female participants for the track meet.

Therefore the probability that a participant chosen at random is a jumper, given that the person is a female is
`(15)/(100)` = 0.15